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Zbl 1068.47085
Suzuki, Tomonari
Strong convergence of Krasnoselskii and Mann's type sequences for one-parameter nonexpansive semigroups without Bochner integrals. (English)
[J] J. Math. Anal. Appl. 305, No. 1, 227-239 (2005). ISSN 0022-247X

The strong convergence of the Krasnoselskii and Mann iterative processes attached to nonexpansive semigroups towards their common fixed point is analyzed. This is done without using the Bochner integral and/or strict convexity of the ambient Banach space.
[Mihai Turinici (Iaşi)]
MSC 2000:
*47J25 Methods for solving nonlinear operator equations (general)
47H20 Semigroups of nonlinear operators

Keywords: Banach space; closed convex set; nonexpansive semigroup; common fixed point; Krasnoselskii and Mann iterative process; strong convergence

Cited in: Zbl 1147.47055

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